Modeling Data The normal daily maximum temperatures (in degrees Fahrenheit) for Denver

Chapter 2, Problem 106

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Modeling Data The normal daily maximum temperatures (in degrees Fahrenheit) for Denver, Colorado, are shown in the table. (Source: National Oceanic and Atmospheric Administration) (a) Use a graphing utility to plot the data and find a model for the data of the form where is the temperature and is the time in months, with corresponding to January. (b) Use a graphing utility to graph the model. How well does the model fit the data? (c) Find and use a graphing utility to graph the derivative. (d) Based on the graph of the derivative, during what times does the temperature change most rapidly? Most slowly? Do your answers agree with your observations of the temperature changes? Explain. x9y

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